Compact CMC graphs in \(M\times\mathbb{R}\) with boundary in two horizontal slices

DOI10.1007/S00574-017-0064-6zbMath1401.53044OpenAlexW2774892473MaRDI QIDQ1992245

Yanyan Li

Publication date: 2 November 2018

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-017-0064-6

zbMATH Keywords

Dirichlet problemconstant mean curvaturehorizontal slices

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Some existence and nonexistence theorems for compact graphs of constant mean curvature with boundary in parallel planes.
• Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary
• A note on doubly connected surfaces of constant mean curvature with prescribed boundary
• The Dirichlet problem for the minimal hypersurface equation on arbitrary domains of a Riemannian manifold
• About the cover: The work of Jesse Douglas on minimal surfaces
• The Problem of Plateau for Two Contours
• The Dirichlet problem for the minimal surface equation in higher dimensions.
• Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem

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